Abstract

In single-pixel imaging (SPI), a large number of illuminations is usually required to capture one single image. Consequently, SPI may only achieve a very low frame rate for a fast-moving object and the reconstructed images are contaminated with blur and noise. In previous works, some attempts are made to perform motion estimation between neighboring frames in a SPI video to enhance the image quality. However, the motion estimation and quality enhancement from one single image frame in dynamic SPI was seldom investigated. In this work, it assumed that some prior knowledge about the type of motion the object undergoes is known. A motion model of the target object is constructed and the motion parameters can be optimized within a search space. Our proposed scheme is different from common motion deblur techniques for photographs since the motion blur mechanism in SPI is significantly different from a conventional camera. Experimental results demonstrate that the reconstructed images with our proposed scheme in dynamic SPI have much better quality.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
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References

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M. P. Edgar, G. M. Gibson, and M. J. Padgett, “Principles and prospects for single-pixel imaging,” Nat. Photonics 13(1), 13–20 (2019).
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[Crossref] [PubMed]

2018 (6)

2017 (4)

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

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[Crossref]

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[Crossref] [PubMed]

2016 (5)

2015 (3)

A. S. M. Jiao, P. W. M. Tsang, and T. C. Poon, “Restoration of digital off-axis Fresnel hologram by exemplar and search based image inpainting with enhanced computing speed,” Comput. Phys. Commun. 193, 30–37 (2015).
[Crossref]

Z. Zhang, X. Ma, and J. Zhong, “Single-pixel imaging by means of Fourier spectrum acquisition,” Nat. Commun. 6(1), 6225 (2015).
[Crossref] [PubMed]

R. S. Aspden, N. R. Gemmell, P. A. Morris, D. S. Tasca, L. Mertens, M. G. Tanner, R. A. Kirkwood, A. Ruggeri, A. Tosi, R. W. Boyd, G. S. Buller, R. H. Hadfield, and M. J. Padgett, “Photon-sparse microscopy: visible light imaging using infrared illumination,” Optica 2(12), 1049 (2015).
[Crossref]

2014 (2)

2012 (2)

B. I. Erkmen, “Computational ghost imaging for remote sensing,” J. Opt. Soc. Am. A 29(5), 782–789 (2012).
[Crossref] [PubMed]

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

2008 (2)

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A 78(6), 061802 (2008).
[Crossref]

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

2004 (1)

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[Crossref] [PubMed]

1997 (1)

1994 (1)

N. Sannomiya, H. Iima, and N. Akatsuka, “Genetic algorithm approach to a production ordering problem in an assembly process with constant use of parts,” Int. J. Syst. Sci. 25(9), 1461–1472 (1994).
[Crossref]

1983 (1)

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220(4598), 671–680 (1983).
[Crossref] [PubMed]

Ailing, T.

Akatsuka, N.

N. Sannomiya, H. Iima, and N. Akatsuka, “Genetic algorithm approach to a production ordering problem in an assembly process with constant use of parts,” Int. J. Syst. Sci. 25(9), 1461–1472 (1994).
[Crossref]

Andrews, M.

Aspden, R. S.

Asundi, A.

Bache, M.

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[Crossref] [PubMed]

Baraniuk, R. G.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Barnett, S. M.

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

Bian, L.

Biggs, D. S.

Bowman, R.

Boyd, R. W.

Brambilla, E.

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[Crossref] [PubMed]

Buller, G. S.

Chabert, C.

Chen, F.

Chen, M.

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Chen, W.

Z. H. Xu, W. Chen, J. Penuelas, M. Padgett, and M. J. Sun, “1000 fps computational ghost imaging using LED-based structured illumination,” Opt. Express 26(3), 2427–2434 (2018).
[Crossref] [PubMed]

M.-J. Sun, W. Chen, T.-F. Liu, and L.-J. Li, “Image retrieval in spatial and temporal domains with a quadrant detector,” IEEE Photonics J. 9(5), 1 (2017).
[Crossref]

Cheng, J.

Dai, Q.

Davenport, M. A.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Duarte, M. F.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Edgar, M. P.

M. P. Edgar, G. M. Gibson, and M. J. Padgett, “Principles and prospects for single-pixel imaging,” Nat. Photonics 13(1), 13–20 (2019).
[Crossref]

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998–3005 (2017).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, D. B. Phillips, G. M. Gibson, and M. J. Padgett, “Improving the signal-to-noise ratio of single-pixel imaging using digital microscanning,” Opt. Express 24(10), 10476–10485 (2016).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1(5), 285–289 (2014).
[Crossref]

Erkmen, B. I.

Gatti, A.

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[Crossref] [PubMed]

Gelatt, C. D.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220(4598), 671–680 (1983).
[Crossref] [PubMed]

Gemmell, N. R.

Gibson, G. M.

M. P. Edgar, G. M. Gibson, and M. J. Padgett, “Principles and prospects for single-pixel imaging,” Nat. Photonics 13(1), 13–20 (2019).
[Crossref]

G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998–3005 (2017).
[Crossref] [PubMed]

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, D. B. Phillips, G. M. Gibson, and M. J. Padgett, “Improving the signal-to-noise ratio of single-pixel imaging using digital microscanning,” Opt. Express 24(10), 10476–10485 (2016).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1(5), 285–289 (2014).
[Crossref]

Gong, W.

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Guo, K.

Hadfield, R. H.

Han, S.

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Hempler, N.

Iima, H.

N. Sannomiya, H. Iima, and N. Akatsuka, “Genetic algorithm approach to a production ordering problem in an assembly process with constant use of parts,” Int. J. Syst. Sci. 25(9), 1461–1472 (1994).
[Crossref]

Jiahao, W.

Jiang, S.

Jiao, A. S. M.

A. S. M. Jiao, P. W. M. Tsang, and T. C. Poon, “Restoration of digital off-axis Fresnel hologram by exemplar and search based image inpainting with enhanced computing speed,” Comput. Phys. Commun. 193, 30–37 (2015).
[Crossref]

Jiao, S.

S. Jiao, C. Zhou, Y. Shi, W. Zou, and X. Li, “Review on optical image hiding and watermarking techniques,” Opt. Laser Technol. 109, 370–380 (2019).
[Crossref]

Z. Zhang, S. Jiao, M. Yao, X. Li, and J. Zhong, “Secured single-pixel broadcast imaging,” Opt. Express 26(11), 14578–14591 (2018).
[Crossref] [PubMed]

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

S. Jiao and P. W. M. Tsang, “Enhanced autofocusing scheme in digital holography based on hologram decomposition,” IEEE International Conference on Industrial Informatics (INDIN)14,541–545 (2016).

Kelly, K. F.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Kirkpatrick, S.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220(4598), 671–680 (1983).
[Crossref] [PubMed]

Kirkwood, R. A.

Kravets, V.

V. Kravets and A. Stern, “Video compressive sensing using Russian dolls ordering of Hadamard basis for multi-scale sampling of a scene in motion using a single pixel camera,” In Computational Imaging III. International Society for Optics and Photonics 10669, 106690 (2018).

Lamb, R.

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

Lancis, J.

Laska, J. N.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Latorre-Carmona, P.

Li, E.

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Li, L.-J.

M.-J. Sun, W. Chen, T.-F. Liu, and L.-J. Li, “Image retrieval in spatial and temporal domains with a quadrant detector,” IEEE Photonics J. 9(5), 1 (2017).
[Crossref]

Li, M. F.

Li, S.

Li, X.

S. Jiao, C. Zhou, Y. Shi, W. Zou, and X. Li, “Review on optical image hiding and watermarking techniques,” Opt. Laser Technol. 109, 370–380 (2019).
[Crossref]

Z. Zhang, S. Jiao, M. Yao, X. Li, and J. Zhong, “Secured single-pixel broadcast imaging,” Opt. Express 26(11), 14578–14591 (2018).
[Crossref] [PubMed]

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

Liansheng, S.

Liu, J. P.

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

Liu, T.-F.

M.-J. Sun, W. Chen, T.-F. Liu, and L.-J. Li, “Image retrieval in spatial and temporal domains with a quadrant detector,” IEEE Photonics J. 9(5), 1 (2017).
[Crossref]

Liu, X. F.

Lugiato, L. A.

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[Crossref] [PubMed]

Ma, X.

Z. Zhang, X. Ma, and J. Zhong, “Single-pixel imaging by means of Fourier spectrum acquisition,” Nat. Commun. 6(1), 6225 (2015).
[Crossref] [PubMed]

Maker, G. T.

Malcolm, G. P.

Mertens, L.

Mitchell, K. J.

Morris, P. A.

Padgett, M.

Padgett, M. J.

M. P. Edgar, G. M. Gibson, and M. J. Padgett, “Principles and prospects for single-pixel imaging,” Nat. Photonics 13(1), 13–20 (2019).
[Crossref]

G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998–3005 (2017).
[Crossref] [PubMed]

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, D. B. Phillips, G. M. Gibson, and M. J. Padgett, “Improving the signal-to-noise ratio of single-pixel imaging using digital microscanning,” Opt. Express 24(10), 10476–10485 (2016).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

R. S. Aspden, N. R. Gemmell, P. A. Morris, D. S. Tasca, L. Mertens, M. G. Tanner, R. A. Kirkwood, A. Ruggeri, A. Tosi, R. W. Boyd, G. S. Buller, R. H. Hadfield, and M. J. Padgett, “Photon-sparse microscopy: visible light imaging using infrared illumination,” Optica 2(12), 1049 (2015).
[Crossref]

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1(5), 285–289 (2014).
[Crossref]

Peng, J.

Penuelas, J.

Phillips, D. B.

Pla, F.

Poon, T. C.

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

A. S. M. Jiao, P. W. M. Tsang, and T. C. Poon, “Restoration of digital off-axis Fresnel hologram by exemplar and search based image inpainting with enhanced computing speed,” Comput. Phys. Commun. 193, 30–37 (2015).
[Crossref]

Radwell, N.

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1(5), 285–289 (2014).
[Crossref]

Ruggeri, A.

Salvador-Balaguer, E.

Sannomiya, N.

N. Sannomiya, H. Iima, and N. Akatsuka, “Genetic algorithm approach to a production ordering problem in an assembly process with constant use of parts,” Int. J. Syst. Sci. 25(9), 1461–1472 (1994).
[Crossref]

Shapiro, J. H.

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A 78(6), 061802 (2008).
[Crossref]

Shi, Y.

S. Jiao, C. Zhou, Y. Shi, W. Zou, and X. Li, “Review on optical image hiding and watermarking techniques,” Opt. Laser Technol. 109, 370–380 (2019).
[Crossref]

Stern, A.

V. Kravets and A. Stern, “Video compressive sensing using Russian dolls ordering of Hadamard basis for multi-scale sampling of a scene in motion using a single pixel camera,” In Computational Imaging III. International Society for Optics and Photonics 10669, 106690 (2018).

Sun, B.

G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998–3005 (2017).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

Sun, M. J.

M. J. Sun and J. M. Zhang, “Single-pixel imaging and its application in three-dimensional reconstruction: a brief review,” Sensors (Basel) 19(3), 732 (2019).
[Crossref] [PubMed]

Z. H. Xu, W. Chen, J. Penuelas, M. Padgett, and M. J. Sun, “1000 fps computational ghost imaging using LED-based structured illumination,” Opt. Express 26(3), 2427–2434 (2018).
[Crossref] [PubMed]

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

Sun, M.-J.

M.-J. Sun, W. Chen, T.-F. Liu, and L.-J. Li, “Image retrieval in spatial and temporal domains with a quadrant detector,” IEEE Photonics J. 9(5), 1 (2017).
[Crossref]

M.-J. Sun, M. P. Edgar, D. B. Phillips, G. M. Gibson, and M. J. Padgett, “Improving the signal-to-noise ratio of single-pixel imaging using digital microscanning,” Opt. Express 24(10), 10476–10485 (2016).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

Sun, T.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Suo, J.

Tajahuerce, E.

Takhar, D.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

Tanner, M. G.

Tasca, D. S.

Taylor, J. M.

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

Tosi, A.

Tsang, P. W. M.

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

A. S. M. Jiao, P. W. M. Tsang, and T. C. Poon, “Restoration of digital off-axis Fresnel hologram by exemplar and search based image inpainting with enhanced computing speed,” Comput. Phys. Commun. 193, 30–37 (2015).
[Crossref]

S. Jiao and P. W. M. Tsang, “Enhanced autofocusing scheme in digital holography based on hologram decomposition,” IEEE International Conference on Industrial Informatics (INDIN)14,541–545 (2016).

Vecchi, M. P.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220(4598), 671–680 (1983).
[Crossref] [PubMed]

Wang, H.

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Wang, L.

Wu, L. A.

Xu, W.

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Xu, Z. H.

Yao, M.

Yao, X. R.

Yu, H.

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

Yu, W. K.

Zhai, G. J.

Zhang, J. M.

M. J. Sun and J. M. Zhang, “Single-pixel imaging and its application in three-dimensional reconstruction: a brief review,” Sensors (Basel) 19(3), 732 (2019).
[Crossref] [PubMed]

Zhang, Z.

Zhao, C.

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Zhao, S.

Zheng, G.

Zhong, J.

Zhou, C.

S. Jiao, C. Zhou, Y. Shi, W. Zou, and X. Li, “Review on optical image hiding and watermarking techniques,” Opt. Laser Technol. 109, 370–380 (2019).
[Crossref]

Zou, W.

S. Jiao, C. Zhou, Y. Shi, W. Zou, and X. Li, “Review on optical image hiding and watermarking techniques,” Opt. Laser Technol. 109, 370–380 (2019).
[Crossref]

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

C. Zhao, W. Gong, M. Chen, E. Li, H. Wang, W. Xu, and S. Han, “Ghost imaging lidar via sparsity constraints,” Appl. Phys. Lett. 101(14), 141123 (2012).
[Crossref]

Biomed. Opt. Express (1)

Comput. Phys. Commun. (1)

A. S. M. Jiao, P. W. M. Tsang, and T. C. Poon, “Restoration of digital off-axis Fresnel hologram by exemplar and search based image inpainting with enhanced computing speed,” Comput. Phys. Commun. 193, 30–37 (2015).
[Crossref]

IEEE Photonics J. (1)

M.-J. Sun, W. Chen, T.-F. Liu, and L.-J. Li, “Image retrieval in spatial and temporal domains with a quadrant detector,” IEEE Photonics J. 9(5), 1 (2017).
[Crossref]

IEEE Signal Process. Mag. (1)

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).
[Crossref]

IEEE Trans. Industr. Inform. (1)

S. Jiao, P. W. M. Tsang, T. C. Poon, J. P. Liu, W. Zou, and X. Li, “Enhanced autofocusing in optical scanning holography based on hologram decomposition,” IEEE Trans. Industr. Inform. 13(5), 2455–2463 (2017).
[Crossref]

In Computational Imaging III. International Society for Optics and Photonics (1)

V. Kravets and A. Stern, “Video compressive sensing using Russian dolls ordering of Hadamard basis for multi-scale sampling of a scene in motion using a single pixel camera,” In Computational Imaging III. International Society for Optics and Photonics 10669, 106690 (2018).

Int. J. Syst. Sci. (1)

N. Sannomiya, H. Iima, and N. Akatsuka, “Genetic algorithm approach to a production ordering problem in an assembly process with constant use of parts,” Int. J. Syst. Sci. 25(9), 1461–1472 (1994).
[Crossref]

J. Opt. Soc. Am. A (2)

Nat. Commun. (2)

Z. Zhang, X. Ma, and J. Zhong, “Single-pixel imaging by means of Fourier spectrum acquisition,” Nat. Commun. 6(1), 6225 (2015).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, G. M. Gibson, B. Sun, N. Radwell, R. Lamb, and M. J. Padgett, “Single-pixel three-dimensional imaging with time-based depth resolution,” Nat. Commun. 7(1), 12010 (2016).
[Crossref] [PubMed]

Nat. Photonics (1)

M. P. Edgar, G. M. Gibson, and M. J. Padgett, “Principles and prospects for single-pixel imaging,” Nat. Photonics 13(1), 13–20 (2019).
[Crossref]

Opt. Express (8)

Z. H. Xu, W. Chen, J. Penuelas, M. Padgett, and M. J. Sun, “1000 fps computational ghost imaging using LED-based structured illumination,” Opt. Express 26(3), 2427–2434 (2018).
[Crossref] [PubMed]

Z. Zhang, S. Jiao, M. Yao, X. Li, and J. Zhong, “Secured single-pixel broadcast imaging,” Opt. Express 26(11), 14578–14591 (2018).
[Crossref] [PubMed]

E. Salvador-Balaguer, P. Latorre-Carmona, C. Chabert, F. Pla, J. Lancis, and E. Tajahuerce, “Low-cost single-pixel 3D imaging by using an LED array,” Opt. Express 26(12), 15623–15631 (2018).
[Crossref] [PubMed]

J. Peng, M. Yao, J. Cheng, Z. Zhang, S. Li, G. Zheng, and J. Zhong, “Micro-tomography via single-pixel imaging,” Opt. Express 26(24), 31094–31105 (2018).
[Crossref] [PubMed]

S. Liansheng, W. Jiahao, T. Ailing, and A. Asundi, “Optical image hiding under framework of computational ghost imaging based on an expansion strategy,” Opt. Express 27(5), 7213–7225 (2019).
[Crossref] [PubMed]

G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998–3005 (2017).
[Crossref] [PubMed]

W. K. Yu, M. F. Li, X. R. Yao, X. F. Liu, L. A. Wu, and G. J. Zhai, “Adaptive compressive ghost imaging based on wavelet trees and sparse representation,” Opt. Express 22(6), 7133–7144 (2014).
[Crossref] [PubMed]

M.-J. Sun, M. P. Edgar, D. B. Phillips, G. M. Gibson, and M. J. Padgett, “Improving the signal-to-noise ratio of single-pixel imaging using digital microscanning,” Opt. Express 24(10), 10476–10485 (2016).
[Crossref] [PubMed]

Opt. Laser Technol. (1)

S. Jiao, C. Zhou, Y. Shi, W. Zou, and X. Li, “Review on optical image hiding and watermarking techniques,” Opt. Laser Technol. 109, 370–380 (2019).
[Crossref]

Optica (2)

Photon. Res. (1)

Phys. Rev. A (1)

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A 78(6), 061802 (2008).
[Crossref]

Phys. Rev. Lett. (1)

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[Crossref] [PubMed]

Sci. Adv. (1)

D. B. Phillips, M. J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3(4), e1601782 (2017).
[Crossref] [PubMed]

Sci. Rep. (1)

W. Gong, C. Zhao, H. Yu, M. Chen, W. Xu, and S. Han, “Three-dimensional ghost imaging lidar via sparsity constraint,” Sci. Rep. 6(1), 26133 (2016).
[Crossref] [PubMed]

Science (1)

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220(4598), 671–680 (1983).
[Crossref] [PubMed]

Sensors (Basel) (1)

M. J. Sun and J. M. Zhang, “Single-pixel imaging and its application in three-dimensional reconstruction: a brief review,” Sensors (Basel) 19(3), 732 (2019).
[Crossref] [PubMed]

Other (3)

“Digital Image Processing”, R. C. Gonzalez & R. E. Woods, Addison-Wesley Publishing Company Inc. (1992).

S. Jiao and P. W. M. Tsang, “Enhanced autofocusing scheme in digital holography based on hologram decomposition,” IEEE International Conference on Industrial Informatics (INDIN)14,541–545 (2016).

S. Jiao, “Design of optimal illumination patterns in single-pixel imaging using image dictionaries,” arXiv preprint arXiv:1806.01340 (2018).

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Figures (10)

Fig. 1
Fig. 1 Optical setup for a single-pixel imaging system.
Fig. 2
Fig. 2 Translationally shifting object in SPI: (a) the object is moving;(b) the illumination patterns are static; (c) the object is static; (d) the illumination patterns are shifted in a reverse manner.
Fig. 3
Fig. 3 Rotating object in SPI: (a) the object is moving; (b) the illumination patterns are static; (c) the object is static; (d) the illumination patterns are rotating in a reverse manner.
Fig. 4
Fig. 4 Flowchart of our proposed motion estimation scheme.
Fig. 5
Fig. 5 Simulated translationally shifting object: (a) Object image at the start of one video frame; (b) Object image at the end of one video frame; (c) Reconstructed results with conventional methods; (d) Reconstructed results with our proposed scheme.
Fig. 6
Fig. 6 Simulated rotating airplane object: (a)Object image at the start of one video frame; (b) Object image at the end of one video frame; (c)Reconstructed results with conventional methods; (d) Reconstructed results with our proposed scheme.
Fig. 7
Fig. 7 Search of optimal motion parameters for the rotating disk object.
Fig. 8
Fig. 8 Simulated rotating disk with digit numbers: (a)Original object images; (b) Reconstructed results with conventional methods when the object is static; (c)Reconstructed results with conventional methods when the disk is rotating at 2 rounds per second; (d) Reconstructed results with conventional methods when the disk is rotating at 4 rounds per second; (e) Reconstructed results with conventional methods when the disk is rotating at 8 rounds per second; (f) Reconstructed results with our proposed scheme when the disk is rotating at 4 rounds per second; (g) Reconstructed results with our proposed scheme when the disk is rotating at 8 rounds per second.
Fig. 9
Fig. 9 Similar moving path with different sets of motion parameters: (a)First set of motion parameters with longer rotation radius but lower rotation speed; (b)Second set of motion parameters with shorter rotation radius but higher rotation speed; (c)Comparison of Fig. 9(a) and Fig. 9(b).
Fig. 10
Fig. 10 Optical experimental results: reconstructed images with conventional methods when the disk is rotating at (a) 2 rounds per second; (b) 4 rounds per second; (c) 8 rounds per second; reconstructed images with our proposed scheme when the disk is rotating at (d) 4 rounds per second; (e) 8 rounds per second.

Tables (3)

Tables Icon

Table 1 Comparison of estimated and true motion parameters for simulated translational shifting object

Tables Icon

Table 2 Comparison of estimated and true motion parameters for simulated rotating airplane object

Tables Icon

Table 3 Comparison of estimated and true motion parameters for simulated digits on a rotating disk

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

I = H O
[ I ( 1 ) I ( 2 ) I ( M ) ] = [ H ( 1 , 1 ) H ( 1 , N ) H ( M , 1 ) H ( M , N ) ] [ O ( 1 ) O ( 2 ) O ( N ) ]
H n e w ( v x , v y ) = T ( H , v x , v y )
H n e w ( P x , P y , w ) = T ( H , P x , P y , w )
E [ O n e w ( v x , v y ) ] = V a r [ O n e w ( v x , v y ) ]

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